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Finding the Fourth Proportional to 7,634.52, 11,447 and 4,343.10

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Solution

The fourth proportional to 7,634.52, 11,447 and 4,343.10 is: 6,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.52 : 11,447 = 4,343.10 : x
  2. Step 2: Convert to fraction form
    7,634.52/11,447 = 4,343.10/x
  3. Step 3: Cross multiply
    7,634.52x = 11,447 × 4,343.10
  4. Step 4: Simplify right side
    7,634.52x = 49,715,465.70
  5. Step 5: Solve for x
    x = 49,715,465.70/7,634.52
  6. Step 6: Final answer
    x = 6,511.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.